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Simplifying 5(c + 1) = 3c + -7 Reorder the terms: 5(1 + c) = 3c + -7 (1 * 5 + c * 5) = 3c + -7 (5 + 5c) = 3c + -7 Reorder the terms: 5 + 5c = -7 + 3c Solving 5 + 5c = -7 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 5 + 5c + -3c = -7 + 3c + -3c Combine like terms: 5c + -3c = 2c 5 + 2c = -7 + 3c + -3c Combine like terms: 3c + -3c = 0 5 + 2c = -7 + 0 5 + 2c = -7 Add '-5' to each side of the equation. 5 + -5 + 2c = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = -7 + -5 2c = -7 + -5 Combine like terms: -7 + -5 = -12 2c = -12 Divide each side by '2'. c = -6 Simplifying c = -6
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